Advances in Sensitivity Analysis and Parametric Programming / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
$279.20
Used and New from Other Sellers
Used and New from Other Sellers
from $309.95
Usually ships in 1-2 business days
(Save 11%)
Other sellers (Hardcover)
  • All (3) from $309.95   
  • New (2) from $309.95   
  • Used (1) from $0.00   

Overview

The numerous advances in mathematical programming have opened up new insights about sensitivity analysis. The paradigm 'What if...?' question is no longer the only question of interest. Often, we want to know 'Why...?' and 'Why not...?' Such questions were not analyzed in the early years of mathematical programming to the same extent that they are now, and we have not only expanded our thinking about 'post-optimal analysis', but also about 'solution analysis', even if the solution obtained is not optimal.
Therefore, it is now time to examine all the recent advances on sensitivity analysis and parametric programming. This book combines the origins of sensitivity analysis with the state of the art. It covers much of the traditional approaches with a modern perspective, and shows recent results using the optimal partition approach, stemming from interior methods, for both linear and quadratic programming. It examines the special case of network models. It presents a neglected topic, qualitative sensitivity analysis, as well as elements of mixed integer programming and gives a modern perspective of nonlinear programming. It provides recent advances in multi-criteria mathematical programming and also describes the state-of-the-art in shastic programming. It covers recent advances in understanding redundancy in quadratic programs, considers an approach to diagnosing infeasibility in linear and nonlinear programs, and gives an overview of sensitivity analysis for fuzzy mathematical programming.

Read More Show Less

Editorial Reviews

Booknews
Reports recent developments in the field made possible by interior point methods for linear programming. Includes a concise history, a general systems view, modern perspectives on traditional approaches in linear programming, recent results using the optimal partition approaches stemming from interior methods for both linear and quadratic programming, the special case of network models and how they lend themselves to special solution analysis, and qualitative sensitivity analysis. Also describes developments in related fields, such as mixed integer programming, non-linear programming using modeling languages, multi-criteria mathematical programming, stochastic programming and its application to financial models, redundancy in quadratic programs, diagnosing infeasibility in linear and nonlinear programs, and sensitivity analysis for fuzzy mathematical programming. Annotation c. by Book News, Inc., Portland, Or.
From the Publisher
'... well-organized book can be highly recommended to all who are engaged in operations research and decision making with incomplete information and/or multiple criteria. I do not hesitate to congratulate the two editors on their excellent work.'
OR Spektrum, 22 (2000)
Read More Show Less

Product Details

Table of Contents

Foreword
Preface
Acknowledgements
About the Authors
1 A Historical Sketch on Sensitivity Analysis and Parametric Programming
2 A Systems Perspective: Entity Set Graphs
3 Linear Programming 1: Basic Principles
4 Linear Programming 2: Degeneracy Graphs
5 Linear Programming 3: The Tolerance Approach
6 The Optimal Set and Optimal Partition Approach
7 Network Models
8 Qualitative Sensitivity Analysis
9 Integer and Mixed-Integer Programming
10 Nonlinear Programming
11 Multi-Criteria and Goal Programming
12 Stochastic Programming and Robust Optimization
13 Redundancy
14 Feasibility and Viability
15 Fuzzy Mathematical Programming
Index
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)